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230114041410 = 2351159117110093
BaseRepresentation
bin1101011001001111011…
…1011001111001000010
3210222222001011111021110
43112103313121321002
512232233143311120
6253413554304150
722424304036051
oct3262367317102
9728861144243
10230114041410
1189655417230
1238720888056
1318913202ca6
14b1cd734398
155ebc0c82e0
hex3593dd9e42

230114041410 has 128 divisors (see below), whose sum is σ = 613275909120. Its totient is φ = 54787449600.

The previous prime is 230114041397. The next prime is 230114041459. The reversal of 230114041410 is 14140411032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22794324 + ... + 22804416.

It is an arithmetic number, because the mean of its divisors is an integer number (4791218040).

Almost surely, 2230114041410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230114041410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306637954560).

230114041410 is an abundant number, since it is smaller than the sum of its proper divisors (383161867710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230114041410 is a wasteful number, since it uses less digits than its factorization.

230114041410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 230114041410 its reverse (14140411032), we get a palindrome (244254452442).

The spelling of 230114041410 in words is "two hundred thirty billion, one hundred fourteen million, forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1171 1298 1770 1947 2342 3245 3513 3894 5855 6490 7026 9735 10093 11710 12881 17565 19470 20186 25762 30279 35130 38643 50465 60558 64405 69089 77286 100930 111023 128810 138178 151395 193215 207267 222046 302790 333069 345445 386430 414534 555115 595487 666138 690890 759979 1036335 1110230 1190974 1519958 1665345 1786461 2072670 2279937 2977435 3330690 3572922 3799895 4559874 5954870 6550357 7599790 8932305 11399685 11818903 13100714 17864610 19651071 22799370 23637806 32751785 35456709 39302142 59094515 65503570 70913418 98255355 118189030 130007933 177283545 196510710 260015866 354567090 390023799 650039665 697315277 780047598 1300079330 1394630554 1950118995 2091945831 3486576385 3900237990 4183891662 6973152770 7670468047 10459729155 15340936094 20919458310 23011404141 38352340235 46022808282 76704680470 115057020705 230114041410